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- JAMES BORGER, J. BORGER
- 2009

This is a foundational account of thé etale topology of generalized Witt vectors and of related constructions. The theory of the usual, " p-typical " Witt vectors of p-adic schemes of finite type is already reasonably well developed. The main point here is to generalize this theory in two different ways. We allow not just p-typical Witt vectors but also,… (More)

- JAMES M. BORGER, J. BORGER
- 2008

Let A be a complete discrete valuation ring with possibly imperfect residue field. The purpose of this paper is to give a notion of conductor for Galois representations over A that generalizes the classical Artin conductor. The definition rests on two general results: there is a moduli space that parametrizes the ways of modifying A so that its residue… (More)

- JAMES M. BORGER
- 2001

Let A be a complete discrete valuation ring with possibly imperfect residue field, and let χ be a one-dimensional Galois representation over A. I show that the non-logarithmic variant of Kato's Swan conductor is the same for χ and the pullback of χ to the generic residual perfection of A. This implies the conductor from " Conductors and the moduli of… (More)

Past research has indicated a relationship between degree of unilateral usage of body parts and right-left discrimination skills. Further evidence for such an association was sought by comparing the scores of hemiplegic persons of limited intelligence on a test of rather advanced righ-left discrimination skills devised by the authors to those earned by a… (More)

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